At hillsdale high school, 20 of the members of the women's track team compete in long-distance events and 12 compete in short-distance events. on the men's track team, 15 run in long-distance events and 11 run in short-distance events. which team has a higher ratio of long-distance to short-distance runners?

Women=20:12
men=15:11

treat as fraction and see which one is lease, remember to put 15 or 20 as top number since we are compareing them

20/12
15/11
try to compare by making bottom number same
20/12 times 11/11=220/132
15/11 time 12/12=180/132

ratios are
220:132
180:132

and women are more so women's team have more long to short

Graph A

Step-by-step explanation:

Say that the car rental rate stands for c dollars ( $ ). We know that Jamal's trip lasts for 4 days, paying $ 24 in expenses for gas, and $ 128 for taxi services. Based on these requirements for his trip the question asks for a graph that models this situation, but lets start with the inequality.

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The big key here is the part " which graph shows the range of car rental rates that would be cheaper than the taxi service. " Our inequality must thus have the variable " c " on the same side as the payment for gas ($ 24 ), and must be less than the taxi service ( $ 128 ), or in other words a less than sign. Another point is the car rental rate. We know it stands for c, but it is dependent on the number of days. Hence we can conclude the following inequality,

24 + 4c < 128 - Subtract 24 from either side,

4c < 104 - Divide by 4 on either side, isolating c,

c < 26

The range of car rental rates that would be cheaper than the taxi service should be { c | 0 ≤ c < 26 }, knowing variable c stands for the car rental rates.

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The graph that models this range should be the first one, option A. This graph is not accurate however, as it extends infinitely in the negative direction, and you can't have negative money, or rather be in debt - in this situation.